Number Theory 11

Complexity theory aims to understand and classify computational problems, especially decision problems, according to their inherent complexity. This book uses new techniques to expand the theory for……続きを見る

In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers. Since then, there has been further dramatic pr……続きを見る

The Rogers--Ramanujan identities are a pair of infinite seriesーinfinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of simi……続きを見る

This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, Introduction to the Algorithmic Measurement Theory (Moscow, So……続きを見る

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification ……続きを見る

The aim of the book is to give a smooth analytic continuation from basic subjects including linear algebra, group theory, Hilbert space theory, etc. to number theory. With plenty of practical exampl……続きを見る

Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on curr……続きを見る

In this enjoyable and lightheaded volume, he gathers a plethora of cultural, biological, geometrical, algebraic, and planetary phenomena of our lives related to the number five. He investigates thes……続きを見る

This book contains ordering of the months progressive reset yearly cycling; reasoning on how we live among the physics year 2017, 2018, 2019, etc.; and depicting how dipitchipational beings are the ……続きを見る

Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this vol……続きを見る

This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which includ……続きを見る

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other are……続きを見る

This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes in……続きを見る

This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending dispara……続きを見る

This book constitutes the refereed post-conference proceedings of the First International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2017, held in Warsaw, Poland, in September 2017……続きを見る

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number T……続きを見る

Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It show……続きを見る

The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in……続きを見る

The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footno……続きを見る

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "imposs……続きを見る

The solution of one of the many mathematical conjectures The conjecture of Syracuse (better known as the Collatz conjecture) is one of the many mathematical conjectures still waiting for proof. In t……続きを見る

Il saggio affronta gli eventi salienti dell’evoluzione storica e filosofica del concetto di numero. Una sorta di compendio, uno sguardo panoramico dalla numerazione arcaica sumera, agli assiomi dell……続きを見る

Flatland: A Romance of Many Dimensions is an 1884 satirical novella by the English schoolmaster Edwin Abbott Abbott. Written pseudonymously as "A Square", the book used the fictional two-dimensional……続きを見る

In questo libro sono presentate tutte le sfaccettature della logica matematica quali: simbologia, principi e proprietà della logica elementarelogica booleanateoria degli ordini e sistemi assiomatici……続きを見る

Sinossi Immaginazione e realtà rigorosamente scientifica sono le due anime di questa mia opera. Da una parte, descrivo un mio viaggio nei pianeti degli extraterrestri, dove assisto a premi e castigh……続きを見る

La dimostrazione definitiva di una famosa congettura matematica La congettura di Siracusa (meglio nota come la congettura di Collatz) è una delle tante congetture matematiche ancora in attesa di dim……続きを見る

This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well……続きを見る

This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well……続きを見る

Kenntnisse über den Aufbau des Zahlensystems und über elementare zahlentheoretische Prinzipien gehören zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Re……続きを見る

Mathematische Gedankengänge besitzen einen ästhetischen Reiz, den jeder zu schätzen weiß, der die Zeit und die Hingabe hat, sich in die Materie zu vertiefen. In seinem Buch präsentiert Martin Ericks……続きを見る